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you must have bought that difference somewhere.
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And if you're consuming less y than you started with
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you must have sold some of that Y in order to end up consuming less.
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So the endogenous variables are the prices and the trades.
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Now, how can we make a general theory
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that for an arbitrary number of people, an arbitrary number of goods,
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you can solve and figure out what's going to happen
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that looks very much like the example
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and has as a special case the example we did to begin with?
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That's what happened with general equilibrium,
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and I'm about to describe it.
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So the next step is always to write down the equilibrium